Question

A study was conducted to investigate the effectiveness of a drug in reducing a person’s weight....

A study was conducted to investigate the effectiveness of a drug in reducing a person’s weight. Using the data below calculate the mean d and standard deviation sd of the differences.

A study was conducted to investigate the effectiveness of a drug in reducing a person’s weight. Using the data below calculate the mean d and standard deviation sd of the differences.

subject pete doug lyn fred gill hank
before 189.9 211.3 211.5 198.1 206.3 211.6
after 187.4 208.5 208.1 198.0 203.2 206.1
difference 2.5 2.8 3.4 0.1 3.1 5.5

Homework Answers

Answer #1

Difference is given by : 2.5 2.8 3.4 0.1

Sum of difference =8.8

Mean of difference =8.8/4=2.2

Sum of square of difference =

2.5*2.5 + 2.8*2.8 + 3.4*3.4 + 0.1*0.1 = 25.66

Variance =

=

= 1/4*(25.66-4*2.2*2.2)

= 1.575

Standard deviation is positive square root of variance = squareroot(1.575)

=1.25499

Mean of difference is : 2.2

standard deviation of difference is: 1.25499

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